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A projectile is travelling in air having pressure and temperature as 88.3 kN/m2 and – 2°C. If the Mach angle is 40°, find the velocity of the projectile. Take γ = 1.4 and R = 287 J/kg K |
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Answer» Pressure, p = 88.3 kN/m2 Temperature, T = – 2 + 273 = 271 K Mach angle, M = 40° γ = 1.4, R = 287 J/kg K Velocity of the projectile, V : Sonic velocity, C = \(\sqrt{γRT}\) = \(\sqrt{1.4\times287\times271}\) = 330 m/s Now, sin α = \(\cfrac CV\) or sin 40° = \(\cfrac {340}V\) V = \(\cfrac{330}{sin 40°}\) = 513.4 m/s |
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